233213920 has 48 divisors (see below), whose sum is σ = 555886800. Its totient is φ = 92452864.

The previous prime is 233213917. The next prime is 233213927. The reversal of 233213920 is 29312332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233213927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11631 + ... + 24529.

It is an arithmetic number, because the mean of its divisors is an integer number (11580975).

Almost surely, 2^233213920 is an apocalyptic number.

233213920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277943400).

233213920 is an abundant number, since it is smaller than the sum of its proper divisors (322672880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233213920 is a wasteful number, since it uses less digits than its factorization.

233213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13027 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 233213920 is about 15271.3430974489. The cubic root of 233213920 is about 615.5332102062.

The spelling of 233213920 in words is "two hundred thirty-three million, two hundred thirteen thousand, nine hundred twenty".